2/x+5 - 1/x-5

Question

Subtract rational expressions

 

Answer 1

   2          1

------ - ------

(x+5)    (x-5)

 

Like any fraction, to add tow rational expressions you need to put them over a common denominator, in this case (x+5)(x-5)

 

    2 *(x-5)        1*(x+5)         2x-10-x-5             x-15                     
------ ------   -   -------------   =  --------------   = ---------------   
(x+5)(x-5)       (x-5)(x+5)      (x-5)(x+5)           (x²-25)